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Finding the Fourth Proportional to 12,204.99, 18,298.35 and 7,813.98

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Solution

The fourth proportional to 12,204.99, 18,298.35 and 7,813.98 is: 11,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.99 : 18,298.35 = 7,813.98 : x
  2. Step 2: Convert to fraction form
    12,204.99/18,298.35 = 7,813.98/x
  3. Step 3: Cross multiply
    12,204.99x = 18,298.35 × 7,813.98
  4. Step 4: Simplify right side
    12,204.99x = 142,982,940.93
  5. Step 5: Solve for x
    x = 142,982,940.93/12,204.99
  6. Step 6: Final answer
    x = 11,715.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.